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Finding the Fourth Proportional to 274,546.64, 411,799.17 and 85,008.57

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Solution

The fourth proportional to 274,546.64, 411,799.17 and 85,008.57 is: 127,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,546.64 : 411,799.17 = 85,008.57 : x
  2. Step 2: Convert to fraction form
    274,546.64/411,799.17 = 85,008.57/x
  3. Step 3: Cross multiply
    274,546.64x = 411,799.17 × 85,008.57
  4. Step 4: Simplify right side
    274,546.64x = 35,006,457,343.42
  5. Step 5: Solve for x
    x = 35,006,457,343.42/274,546.64
  6. Step 6: Final answer
    x = 127,506.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.